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A theoretical approach to the problem of the most dangerous initial deflection shape in stability type structural problems. (English) Zbl 0402.73063


MSC:

74K20 Plates
74G60 Bifurcation and buckling
74B20 Nonlinear elasticity
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References:

[1] Bauer L., Reiss E. L.: Nonlinear buckling of rectangular plates. J. Soc. Ind. Appl. Math., 13 (1965), 3, 603-625.
[2] Sadovský Z.: Rectangular thin plate in shear - theoretical solution. (in Slovak). Staveb. Čas., 25 (1977), 3, 197-228.
[3] Hlaváček I.: Einfluss der Form der Anfangskrümmung auf das Ausbeulen der gedrückten rechteckigen Platte. Acta Technica ČSAV, 7 (1962), 2, 174-206.
[4] Sadovský Z.: Influence of initial imperfections and boundary conditions on stability of shallow shells and thin plates. (in Slovak). Research rep., ÚSTARCH SAV, Bratislava Dec. 1975.
[5] Berger M. S.: On von Kármán’s equations and the buckling of a thin elastic plate, I. The clamped plate. Comm. Pure Appl. Math., 20 (1967), 687-719. · Zbl 0162.56405
[6] Berger M. S., Fife P. C.: Von Kármán’s equations and the buckling of a thin elastic plate, II. Plate with general edge conditions. Comm. Pure Appl. Math., 21 (1968), 227-241. · Zbl 0162.56501
[7] Vainberg M. M.: Variational methods for the study of nonlinear operators. (in Russian). Gostechizdat, Moscow 1956.
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